Question

Please help. Worth more than 5 points.

Answer 1

(5,-1) and choice A

Explanation:

The first step is to figure out where the two vectors are. Since one goes to (2,-3) and the other goes to (3,2), you already know that the only possible correct answer choices could be A and B, since C and D go to the wrong coordinates. Since the two vectors are originating from the same point and are not build on top of each other, you solve this by averaging them instead of adding head to tail. Using the pythagorean theorem, you know that the length of the new vector will be
`√((3^2+2^2)+(3^2+2^2))=√(26)`. The side lengths have length 5 and 1, since
`5^2+1^2=26`. Therefore, the coordinates of the new vector are (5,-1). Hope this helps!